The weight of a pseudocompact (homogeneous) space whose cardinality has countable cofinality
The weight of a pseudocompact (homogeneous) space whose cardinality has countable cofinality
Let <italic>X</italic> be an infinite pseudocompact space. We are interested in restrictions on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="kappa equals StartAbsoluteValue upper X EndAbsoluteValue"> <mml:semantics> <mml:mrow> <mml:mi>κ<!-- κ --></mml:mi> <mml:mo>=</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">|</mml:mo> </mml:mrow> <mml:mi>X</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">|</mml:mo> </mml:mrow> </mml:mrow> <mml:annotation encoding="application/x-tex">\kappa = |X|</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula …